Abstract

We study optical solitons in chirped periodic optical lattices whose amplitude or frequency changes in the transverse direction. We discover that soliton propagation in such lattices can be accompanied by the progressive self-bending of the soliton trajectory, and we show that the soliton bending rate and output position can be controlled by varying the lattice depth, the chirp amplitude, and the frequency modulation rate. This effect has potential applications for controllable soliton steering and routing.

© 2005 Optical Society of America

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  1. G. Steinmeyer, "Dispersion compensation by microstructured optical devices in ultrafast optics," Appl. Phys. A 79, 1663-1671 (2004).
    [CrossRef]
  2. G. Steinmeyer, D. H. Sutter, L. Gallmann, N. Matuschek, and U. Keller, "Frontiers in ultrashort pulse generation: pushing the limits in linear and nonlinear optics," Science 286, 1507-1512 (1999).
    [CrossRef] [PubMed]
  3. C. R. Giles, "Lightwave applications of fiber Bragg gratings," J. Lightwave Technol. 15, 1391-1404 (1997).
    [CrossRef]
  4. R. Szipocs and A. Kohazi-Kis, "Theory and design of chirped dielectric laser mirrors," Appl. Phys. B 65, 115-135 (1997).
    [CrossRef]
  5. N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).
    [CrossRef]
  6. J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature 422, 147-150 (2003).
    [CrossRef] [PubMed]
  7. D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, "Spatial solitons in optically induced gratings," Opt. Lett. 28, 710-712 (2003).
    [CrossRef] [PubMed]
  8. J. Yang and Z. Musslimani, "Fundamental and vortex solitons in a two-dimensional optical lattice," Opt. Lett. 28, 2094-2096 (2003).
    [CrossRef] [PubMed]
  9. J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90, 023902 (2003).
    [CrossRef] [PubMed]
  10. D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004).
    [CrossRef] [PubMed]
  11. J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, "Observation of vortex-ring "discrete" solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004).
    [CrossRef]
  12. H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, "Discrete solitons and solitons-induced dislocations in partially coherent photonic lattices," Phys. Rev. Lett. 92, 123902 (2004).
    [CrossRef]
  13. Y. V. Kartashov, A. A. Egorov, L. Torner, and D. N. Christodoulides, "Stable soliton complexes in two-dimensional photonic lattices," Opt. Lett. 29, 1918-1920 (2004).
    [CrossRef] [PubMed]
  14. Y. V. Kartashov, A. S. Zelenina, L. Torner, and V. A. Vysloukh, "Spatial soliton switching in quasi-continuous optical arrays," Opt. Lett. 29, 766-768 (2004).
    [CrossRef] [PubMed]
  15. Y. V. Kartashov, L. Torner, and V. A. Vysloukh, "Parametric amplification of soliton steering in optical lattices," Opt. Lett. 29, 1102-1104 (2004).
    [CrossRef] [PubMed]
  16. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Soliton trains in photonic lattices," Opt. Express 12, 2831-2837 (2004).
    [CrossRef] [PubMed]
  17. Y. V. Kartashov, L.-C. Crasovan, A. S. Zelenina, V. A. Vysloukh, A. Sanpera, M. Lewenstein, and L. Torner, "Soliton eigenvalue control in optical lattices," Phys. Rev. Lett. 93, 143902 (2004).
    [CrossRef] [PubMed]
  18. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Tunable soliton self-bending in optical lattices with nonlocal nonlinearity," Phys. Rev. Lett. 93, 153903 (2004).
    [CrossRef] [PubMed]
  19. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optical Bloch oscillations," Phys. Rev. Lett. 83, 4756-4759 (1999).
    [CrossRef]
  20. N. K. Efremidis and D. N. Christodoulides, "Bloch oscillations in optical dissipative lattices," Opt. Lett. 29, 2485-2487 (2004).
    [CrossRef] [PubMed]

2004

G. Steinmeyer, "Dispersion compensation by microstructured optical devices in ultrafast optics," Appl. Phys. A 79, 1663-1671 (2004).
[CrossRef]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, "Observation of vortex-ring "discrete" solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, "Discrete solitons and solitons-induced dislocations in partially coherent photonic lattices," Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef]

Y. V. Kartashov, A. A. Egorov, L. Torner, and D. N. Christodoulides, "Stable soliton complexes in two-dimensional photonic lattices," Opt. Lett. 29, 1918-1920 (2004).
[CrossRef] [PubMed]

Y. V. Kartashov, A. S. Zelenina, L. Torner, and V. A. Vysloukh, "Spatial soliton switching in quasi-continuous optical arrays," Opt. Lett. 29, 766-768 (2004).
[CrossRef] [PubMed]

Y. V. Kartashov, L. Torner, and V. A. Vysloukh, "Parametric amplification of soliton steering in optical lattices," Opt. Lett. 29, 1102-1104 (2004).
[CrossRef] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Soliton trains in photonic lattices," Opt. Express 12, 2831-2837 (2004).
[CrossRef] [PubMed]

Y. V. Kartashov, L.-C. Crasovan, A. S. Zelenina, V. A. Vysloukh, A. Sanpera, M. Lewenstein, and L. Torner, "Soliton eigenvalue control in optical lattices," Phys. Rev. Lett. 93, 143902 (2004).
[CrossRef] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Tunable soliton self-bending in optical lattices with nonlocal nonlinearity," Phys. Rev. Lett. 93, 153903 (2004).
[CrossRef] [PubMed]

N. K. Efremidis and D. N. Christodoulides, "Bloch oscillations in optical dissipative lattices," Opt. Lett. 29, 2485-2487 (2004).
[CrossRef] [PubMed]

2003

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature 422, 147-150 (2003).
[CrossRef] [PubMed]

D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, "Spatial solitons in optically induced gratings," Opt. Lett. 28, 710-712 (2003).
[CrossRef] [PubMed]

J. Yang and Z. Musslimani, "Fundamental and vortex solitons in a two-dimensional optical lattice," Opt. Lett. 28, 2094-2096 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90, 023902 (2003).
[CrossRef] [PubMed]

2002

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).
[CrossRef]

1999

G. Steinmeyer, D. H. Sutter, L. Gallmann, N. Matuschek, and U. Keller, "Frontiers in ultrashort pulse generation: pushing the limits in linear and nonlinear optics," Science 286, 1507-1512 (1999).
[CrossRef] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optical Bloch oscillations," Phys. Rev. Lett. 83, 4756-4759 (1999).
[CrossRef]

1997

C. R. Giles, "Lightwave applications of fiber Bragg gratings," J. Lightwave Technol. 15, 1391-1404 (1997).
[CrossRef]

R. Szipocs and A. Kohazi-Kis, "Theory and design of chirped dielectric laser mirrors," Appl. Phys. B 65, 115-135 (1997).
[CrossRef]

Aitchison, J. S.

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optical Bloch oscillations," Phys. Rev. Lett. 83, 4756-4759 (1999).
[CrossRef]

Alexander, T. J.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

Bartal, G.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, "Observation of vortex-ring "discrete" solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

Carmon, T.

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90, 023902 (2003).
[CrossRef] [PubMed]

Chen, Z.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, "Discrete solitons and solitons-induced dislocations in partially coherent photonic lattices," Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef]

Christodoulides, D. N.

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, "Discrete solitons and solitons-induced dislocations in partially coherent photonic lattices," Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef]

Y. V. Kartashov, A. A. Egorov, L. Torner, and D. N. Christodoulides, "Stable soliton complexes in two-dimensional photonic lattices," Opt. Lett. 29, 1918-1920 (2004).
[CrossRef] [PubMed]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, "Observation of vortex-ring "discrete" solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

N. K. Efremidis and D. N. Christodoulides, "Bloch oscillations in optical dissipative lattices," Opt. Lett. 29, 2485-2487 (2004).
[CrossRef] [PubMed]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90, 023902 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature 422, 147-150 (2003).
[CrossRef] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Cohen, O.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, "Observation of vortex-ring "discrete" solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

Crasovan, L.-C.

Y. V. Kartashov, L.-C. Crasovan, A. S. Zelenina, V. A. Vysloukh, A. Sanpera, M. Lewenstein, and L. Torner, "Soliton eigenvalue control in optical lattices," Phys. Rev. Lett. 93, 143902 (2004).
[CrossRef] [PubMed]

Efremidis, N. K.

N. K. Efremidis and D. N. Christodoulides, "Bloch oscillations in optical dissipative lattices," Opt. Lett. 29, 2485-2487 (2004).
[CrossRef] [PubMed]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90, 023902 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature 422, 147-150 (2003).
[CrossRef] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Egorov, A. A.

Eisenberg, H. S.

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optical Bloch oscillations," Phys. Rev. Lett. 83, 4756-4759 (1999).
[CrossRef]

Eugenieva, E. D.

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, "Discrete solitons and solitons-induced dislocations in partially coherent photonic lattices," Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef]

Fleischer, J. W.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, "Observation of vortex-ring "discrete" solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90, 023902 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature 422, 147-150 (2003).
[CrossRef] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Gallmann, L.

G. Steinmeyer, D. H. Sutter, L. Gallmann, N. Matuschek, and U. Keller, "Frontiers in ultrashort pulse generation: pushing the limits in linear and nonlinear optics," Science 286, 1507-1512 (1999).
[CrossRef] [PubMed]

Giles, C. R.

C. R. Giles, "Lightwave applications of fiber Bragg gratings," J. Lightwave Technol. 15, 1391-1404 (1997).
[CrossRef]

Hudock, J.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, "Observation of vortex-ring "discrete" solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

Kartashov, Y. V.

Keller, U.

G. Steinmeyer, D. H. Sutter, L. Gallmann, N. Matuschek, and U. Keller, "Frontiers in ultrashort pulse generation: pushing the limits in linear and nonlinear optics," Science 286, 1507-1512 (1999).
[CrossRef] [PubMed]

Kivshar, Y.

Kivshar, Y. S.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

Kohazi-Kis, A.

R. Szipocs and A. Kohazi-Kis, "Theory and design of chirped dielectric laser mirrors," Appl. Phys. B 65, 115-135 (1997).
[CrossRef]

Krolikowski, W.

Lewenstein, M.

Y. V. Kartashov, L.-C. Crasovan, A. S. Zelenina, V. A. Vysloukh, A. Sanpera, M. Lewenstein, and L. Torner, "Soliton eigenvalue control in optical lattices," Phys. Rev. Lett. 93, 143902 (2004).
[CrossRef] [PubMed]

Makasyuk, I.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

Manela, O.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, "Observation of vortex-ring "discrete" solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

Martin, H.

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, "Discrete solitons and solitons-induced dislocations in partially coherent photonic lattices," Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

Matuschek, N.

G. Steinmeyer, D. H. Sutter, L. Gallmann, N. Matuschek, and U. Keller, "Frontiers in ultrashort pulse generation: pushing the limits in linear and nonlinear optics," Science 286, 1507-1512 (1999).
[CrossRef] [PubMed]

Morandotti, R.

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optical Bloch oscillations," Phys. Rev. Lett. 83, 4756-4759 (1999).
[CrossRef]

Musslimani, Z.

Neshev, D.

Neshev, D. N.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

Ostrovskaya, E.

Ostrovskaya, E. A.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

Peschel, U.

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optical Bloch oscillations," Phys. Rev. Lett. 83, 4756-4759 (1999).
[CrossRef]

Sanpera, A.

Y. V. Kartashov, L.-C. Crasovan, A. S. Zelenina, V. A. Vysloukh, A. Sanpera, M. Lewenstein, and L. Torner, "Soliton eigenvalue control in optical lattices," Phys. Rev. Lett. 93, 143902 (2004).
[CrossRef] [PubMed]

Sears, S.

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Segev, M.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, "Observation of vortex-ring "discrete" solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature 422, 147-150 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90, 023902 (2003).
[CrossRef] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Silberberg, Y.

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optical Bloch oscillations," Phys. Rev. Lett. 83, 4756-4759 (1999).
[CrossRef]

Steinmeyer, G.

G. Steinmeyer, "Dispersion compensation by microstructured optical devices in ultrafast optics," Appl. Phys. A 79, 1663-1671 (2004).
[CrossRef]

G. Steinmeyer, D. H. Sutter, L. Gallmann, N. Matuschek, and U. Keller, "Frontiers in ultrashort pulse generation: pushing the limits in linear and nonlinear optics," Science 286, 1507-1512 (1999).
[CrossRef] [PubMed]

Sutter, D. H.

G. Steinmeyer, D. H. Sutter, L. Gallmann, N. Matuschek, and U. Keller, "Frontiers in ultrashort pulse generation: pushing the limits in linear and nonlinear optics," Science 286, 1507-1512 (1999).
[CrossRef] [PubMed]

Szipocs, R.

R. Szipocs and A. Kohazi-Kis, "Theory and design of chirped dielectric laser mirrors," Appl. Phys. B 65, 115-135 (1997).
[CrossRef]

Torner, L.

Vysloukh, V. A.

Y. V. Kartashov, L. Torner, and V. A. Vysloukh, "Parametric amplification of soliton steering in optical lattices," Opt. Lett. 29, 1102-1104 (2004).
[CrossRef] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Soliton trains in photonic lattices," Opt. Express 12, 2831-2837 (2004).
[CrossRef] [PubMed]

Y. V. Kartashov, L.-C. Crasovan, A. S. Zelenina, V. A. Vysloukh, A. Sanpera, M. Lewenstein, and L. Torner, "Soliton eigenvalue control in optical lattices," Phys. Rev. Lett. 93, 143902 (2004).
[CrossRef] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Tunable soliton self-bending in optical lattices with nonlocal nonlinearity," Phys. Rev. Lett. 93, 153903 (2004).
[CrossRef] [PubMed]

Y. V. Kartashov, A. S. Zelenina, L. Torner, and V. A. Vysloukh, "Spatial soliton switching in quasi-continuous optical arrays," Opt. Lett. 29, 766-768 (2004).
[CrossRef] [PubMed]

Yang, J.

Zelenina, A. S.

Y. V. Kartashov, A. S. Zelenina, L. Torner, and V. A. Vysloukh, "Spatial soliton switching in quasi-continuous optical arrays," Opt. Lett. 29, 766-768 (2004).
[CrossRef] [PubMed]

Y. V. Kartashov, L.-C. Crasovan, A. S. Zelenina, V. A. Vysloukh, A. Sanpera, M. Lewenstein, and L. Torner, "Soliton eigenvalue control in optical lattices," Phys. Rev. Lett. 93, 143902 (2004).
[CrossRef] [PubMed]

Appl. Phys. A

G. Steinmeyer, "Dispersion compensation by microstructured optical devices in ultrafast optics," Appl. Phys. A 79, 1663-1671 (2004).
[CrossRef]

Appl. Phys. B

R. Szipocs and A. Kohazi-Kis, "Theory and design of chirped dielectric laser mirrors," Appl. Phys. B 65, 115-135 (1997).
[CrossRef]

J. Lightwave Technol.

C. R. Giles, "Lightwave applications of fiber Bragg gratings," J. Lightwave Technol. 15, 1391-1404 (1997).
[CrossRef]

Nature

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature 422, 147-150 (2003).
[CrossRef] [PubMed]

Opt. Express

Opt. Lett.

Phys. Rev. E

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Phys. Rev. Lett.

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90, 023902 (2003).
[CrossRef] [PubMed]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

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H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, "Discrete solitons and solitons-induced dislocations in partially coherent photonic lattices," Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef]

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Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Tunable soliton self-bending in optical lattices with nonlocal nonlinearity," Phys. Rev. Lett. 93, 153903 (2004).
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Figures (3)

Fig. 1
Fig. 1

(a) Energy flow versus propagation constant at p = 4 . (b) Cutoff versus lattice depth at α = 0.2 ; inset shows lattice profile. (c) Cutoff versus lattice amplitude modulation rate at p = 2 . (d) Profiles of solitons with different energy flows at p = 4 , α = 0.2 ; gray regions correspond to R ( η ) 0 and white regions to R ( η ) > 0 . In all cases modulation frequency Ω η = 8 .

Fig. 2
Fig. 2

(a) Propagation dynamics of solitons in lattices with different amplitude modulation rates at p = 2 , Ω η = 8 . (b) Soliton center shift at distance ξ = 32 versus modulation frequency at p = 2 , α = 0.1 . (c) Soliton center shift at distance ξ = 32 versus lattice depth at Ω η = 8 , α = 0.1 . (d) Propagation dynamics of solitons with different input angles at p = 1 , Ω η = 8 , α = 0.3 .

Fig. 3
Fig. 3

(a) Profiles of solitons with different energy flows at p = 4 , α = 0.05 ; gray regions correspond to R ( η ) 0 and white regions to R ( η ) > 0 . (b) Cutoff versus lattice depth at α = 0.05 ; inset shows lattice profile. (c) Propagation dynamics of solitons in lattices with different depths at α = 0.02 . (d) Propagation dynamics of solitons with different input angles at p = 2 , α = 0.02 . In all cases modulation frequency Ω η = 8 .

Equations (2)

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i q ξ = 1 2 2 q η 2 q q 2 p R ( η ) q .
δ η = 1 U η q 2 d η

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